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Finding the Fourth Proportional to 1,253.24, 1,727.76 and 833.61

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Solution

The fourth proportional to 1,253.24, 1,727.76 and 833.61 is: 1,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.24 : 1,727.76 = 833.61 : x
  2. Step 2: Convert to fraction form
    1,253.24/1,727.76 = 833.61/x
  3. Step 3: Cross multiply
    1,253.24x = 1,727.76 × 833.61
  4. Step 4: Simplify right side
    1,253.24x = 1,440,278.01
  5. Step 5: Solve for x
    x = 1,440,278.01/1,253.24
  6. Step 6: Final answer
    x = 1,149.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.